2134/12315 Lubor Frastia Lubor Frastia Andrew Archer Andrew Archer Uwe Thiele Uwe Thiele Modelling the formation of structured deposits at receding contact lines of evaporating solutions and suspensions Loughborough University 2013 untagged Mathematical Sciences not elsewhere classified 2013-05-17 13:57:04 Journal contribution https://repository.lboro.ac.uk/articles/journal_contribution/Modelling_the_formation_of_structured_deposits_at_receding_contact_lines_of_evaporating_solutions_and_suspensions/9388118 When a film of a liquid suspension of nanoparticles or a polymer solution is deposited on a surface, it may dewet from the surface and as the solvent evaporates the solute particles/polymer can be deposited on the surface in regular line patterns. In this paper we explore a hydrodynamic model for the process that is based on a long-wave approximation that predicts the deposition of irregular and regular line patterns. This is due to a self-organised pinning–depinning cycle that resembles a stick–slip motion of the contact line. We present a detailed analysis of how the line pattern properties depend on quantities such as the evaporation rate, the solute concentration, the Péclet number, the chemical potential of the ambient vapour, the disjoining pressure, and the intrinsic viscosity. The results are related to several experiments and to depinning transitions in other soft matter systems.